ABSTRACT In this article, estimation problems for the Burr X distribution under a progressive-stress accelerated life test with progressive type-II censoring are studied. The stress is assumed to be a linearly increasing function of time. The inverse power law and the cumulative exposure model are considered. The classical and Bayesian estimations for the model parameters are obtained by using maximum likelihood method and Markov chain Monte Carlo technique,respectively. The asymptotic confidence intervals are constructed and highest posterior density intervals are also established. A simulation study is conducted to investigate the performance of the proposed point and interval estimations. Finally, a real data set is analysed for illustration.

中文翻译：

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基于渐进应力加速寿命试验下 Burr X 分布的渐进式 II 型截尾数据的统计推断

摘要 在本文中，研究了在渐进式应力加速寿命试验下，采用渐进式 II 型删失的毛刺 X 分布估计问题。假定应力是时间的线性增加函数。考虑了逆幂律和累积曝光模型。模型参数的经典估计和贝叶斯估计分别通过最大似然法和马尔可夫链蒙特卡罗技术获得。构建渐近置信区间并建立最高后验密度区间。进行模拟研究以调查所提出的点和区间估计的性能。最后，分析了一个真实的数据集以供说明。